Multiple positive solutions of fractional-order boundary value problem with integral boundary conditions
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Authors
Youyu Wang
- Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, P. R. China.
Shuilian Liang
- Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, P. R. China.
Qichao Wang
- Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, P. R. China.
Abstract
We concentrate on investigating the existence of positive solutions
for fractional-order differential equations with integral conditions
in this article. The problem is issued by applying Avery-Peterson
fixed-point theorem and the properties of Green's function. At the
same time, we provide an example to make our results clear and easy
for readers' to understand the multiplicity of solutions.
Share and Cite
ISRP Style
Youyu Wang, Shuilian Liang, Qichao Wang, Multiple positive solutions of fractional-order boundary value problem with integral boundary conditions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 12, 6333--6343
AMA Style
Wang Youyu, Liang Shuilian, Wang Qichao, Multiple positive solutions of fractional-order boundary value problem with integral boundary conditions. J. Nonlinear Sci. Appl. (2017); 10(12):6333--6343
Chicago/Turabian Style
Wang, Youyu, Liang, Shuilian, Wang, Qichao. "Multiple positive solutions of fractional-order boundary value problem with integral boundary conditions." Journal of Nonlinear Sciences and Applications, 10, no. 12 (2017): 6333--6343
Keywords
- Fractional differential equation
- integral boundary value conditions
- multiplicity of positive solutions
MSC
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